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Finding the Fourth Proportional to 569.50, 785.77 and 320.82

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Solution

The fourth proportional to 569.50, 785.77 and 320.82 is: 442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.50 : 785.77 = 320.82 : x
  2. Step 2: Convert to fraction form
    569.50/785.77 = 320.82/x
  3. Step 3: Cross multiply
    569.50x = 785.77 × 320.82
  4. Step 4: Simplify right side
    569.50x = 252,088.02
  5. Step 5: Solve for x
    x = 252,088.02/569.50
  6. Step 6: Final answer
    x = 442.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.